Design, Manufacture and Characterization of an Acoustic Barrier Made of Multi-Phenomena Cylindrical Scatterers Arranged in a Fractal-Based Geometry

Castiñeira-Ibáñez, Sergio; Rubio, Constanza; Romero‐García, Vicente; Sánchez‐Pérez, J. V.; Garcı́a-Raffi, L. M.

doi:10.2478/v10168-012-0057-9

Cited by 37 publications

(28 citation statements)

References 9 publications

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“…In the field of the practical uses of sonic crystals, one which may be regarded perhaps as the most promising is precisely their use for the selective attenuation of sounds, for example as traffic noise barriers (Sánchez-Pérez et al [3]). A recent work on this topic (Castiñeira-Ibáñez et al [4]) has addressed the classification of sonic crystal barriers in terms of the relevant European standards for the determination of the intrinsic characteristics of acoustic barriers.…”

Section: Introductionmentioning

confidence: 99%

An ACA-MFS approach for the analysis of sound propagation in sonic crystals

Godinho¹,

Soares²,

Santos³

2015

WIT Transactions on Modelling and Simulation

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Some efficient methods are available in the literature to solve the problem of sound propagation in the presence of sonic crystal structures, such as those based in the Multiple Scattering Theory (MST) or in the Finite Element Method (FEM). More recently, the Method of Fundamental Solutions (MFS) and the Boundary Element Method (BEM) have also been applied for that purpose. In this paper, a new strategy based on the use of the MFS is proposed to tackle problems of sound propagation around 3D sonic crystals with constant geometry along the axis of the scatterers (2.5D). The problem is solved in the frequency domain, and the sound field is synthesized as a summation of simpler 2D problems. To allow the solution of large-scale problems, with a high number of scatterers, an Adaptive-CrossApproximation approach is proposed and incorporated in the MFS algorithm, rendering the calculation much faster and with very significant savings in terms of computational requirements. Examples are presented, and the calculation times and RAM requirements are compared with those provided by a classic MFS formulation.

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Section: Introductionmentioning

confidence: 99%

An ACA-MFS approach for the analysis of sound propagation in sonic crystals

Godinho¹,

Soares²,

Santos³

2015

WIT Transactions on Modelling and Simulation

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“…The ε parameter has been previously defined in Eqs. (7) and (8). Figure 15 shows the influence of the central gap fraction on the modulation of the acoustic beam.…”

Section: Fractal Analysis -Applications In Health Sciences and Socialmentioning

confidence: 99%

“…Lubniewski and Stepnowski [6] developed a simple method to identify the seabed using elements of fractal analysis. Castiñeira-Ibáñez et al [7,8] presented an acoustic barrier to control the noise formed by rigid cylinders in the fractal geometry of a Sierpinski triangle. These structures are capable of producing sharp attenuation by means of destructive interference, as well as focalization through constructive interference.…”

Section: Introductionmentioning

confidence: 99%

Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses

Castiñeira-Ibáñez¹,

Tarrazó-Serrano²,

Fuster³

et al. 2017

Fractal Analysis - Applications in Health Sciences and Social Sciences

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The term fractal was coined in 1975 by Benoit Mandelbrot. Since then, fractal structures have been widely used by the international scientific community. Its range of applications includes multiple areas, such as optics, physics, cryptography, medicine, economics, and so on. The application of fractal structures to modulate light beams in the field of optics has been extensively studied, and it has been shown that in some cases these new fractal lenses improve the response of traditional lenses. Fractal lenses are able to provide beamforming capabilities, and allow the optimization of the optical beam according to the specific requirements. In some applications, it may be necessary to improve the focus in a certain area, while in others it may be critical to obtain a sharp attenuation by means of destructive interference. It may even be required a beam profile with multiple focus and a certain control over them. This work investigates the application of fractal structures based on Polyadic Cantor sets as ultrasonic lenses, analyzing how the relation between the different design parameters and the performance of the lens. It is shown that the working frequency becomes a precise control mechanism that can modify dynamically the focus position of the lens.

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“…This application presents some advantages when compared to conventional noise barriers such as the fact that it does not require foundations as significant as the latter, due to its comparatively small mass, and the relatively small action of the wind, as it is a fairly "open" structure (Castiñeira-Ibáñez et al, 2012). Another important benefit is the ability to adapt its attenuation capabilities to a specific site's requirements through an appropriate "fine tuning" of geometrical configuration of the elements in its periodic structure.…”

Section: Introductionmentioning

confidence: 99%

Numerical Evaluation of Sound Attenuation Provided by Periodic Structures

Martins¹,

Godinho²,

Picado-Santos³

2013

Archives of Acoustics

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The use of periodic structures as noise abatement devices has already been the object of considerable research seeking to understand its efficiency and see to what extent they can provide a functional solution in mitigating noise from different sources. The specific case of sonic crystals consisting of different materials has received special attention in studying the influence of different variables on its acoustic performance. The present work seeks to contribute to a better understanding of the behavior of these structures by implementing an approach based on the numerical method of fundamental solutions (MFS) to model the acoustic behavior of two-dimensional sonic crystals. The MFS formulation proposed here is used to evaluate the performance of crystals composed of circular elements, studying the effect of varying dimensions and spacing of the crystal elements as well as their acoustic absorption in the sound attenuation provided by the global structure, in what concerns typical traffic noise sources, and establishing some broad indications for the use of those structures.

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Design, Manufacture and Characterization of an Acoustic Barrier Made of Multi-Phenomena Cylindrical Scatterers Arranged in a Fractal-Based Geometry

Cited by 37 publications

References 9 publications

An ACA-MFS approach for the analysis of sound propagation in sonic crystals

An ACA-MFS approach for the analysis of sound propagation in sonic crystals

Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses

Numerical Evaluation of Sound Attenuation Provided by Periodic Structures

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